What is the Least Common Multiple of 91000 and 91009?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91000 and 91009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91000 and 91009, than apply into the LCM equation.

GCF(91000,91009) = 1
LCM(91000,91009) = ( 91000 × 91009) / 1
LCM(91000,91009) = 8281819000 / 1
LCM(91000,91009) = 8281819000

Least Common Multiple (LCM) of 91000 and 91009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91000 and 91009. First we will calculate the prime factors of 91000 and 91009.

Prime Factorization of 91000

Prime Factorization of 91009

Now multiplying the highest exponent prime factors to calculate the LCM of 91000 and 91009.

LCM(91000,91009) = 2³ × 5³ × 7¹ × 13¹ × 91009¹
LCM(91000,91009) = 8281819000